Least Common Multiple (LCM) of 72 and 63
The least common multiple (LCM) of 72 and 63 is 504.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 72 and 63?
First, calculate the GCD of 72 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 72 ÷ 63 = 1 remainder 9 |
| 2 | 63 ÷ 9 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 89 | 13706 |
| 80 and 24 | 240 |
| 101 and 111 | 11211 |
| 137 and 46 | 6302 |
| 33 and 158 | 5214 |